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Graphing polynomials and finding the roots – Sharp EL-9900 User Manual

Page 58

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Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900

Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

Graphing a polynomial and zooming to find the roots

1.

Turn the calculator on and press Y= . Y prompts will appear on the viewing

window. Press CL to remove old Y expressions. Setup the calculator with

rectangular coordinates and the equation editor mode by pressing 2ndF

SET UP E (COORD) 1 (Rect) G (EDITOR) and 1 (Equation). Press CL

to exit the menu and return to the Y prompts.

2.

To enter the polynomial y = x

3

– 3x

2

+ x + 1, press X/

θ/T/n a

b

3

– 3 X/

θ/T/n x

2

+

X/

θ/T/n + 1 .

3.

Press ZOOM A (Zoom) 7 (Dec) to establish the decimal viewing window

and view the graph. Press TRACE to engage the trace feature. Press to

move the cursor near the left-hand root.

4.

Set the zoom factors to 5 by pressing ZOOM B (FACTOR) press

ENTER 5 ENTER 5 ENTER . Press ZOOM A (ZOOM) 3 (In)

to zoom in on the left- hand root. Press TRACE and move the tracer to

approximate the root.

5.

Press ZOOM H (RCL) 2 (PreWin) to return to the decimal viewing

window. Press TRACE and move the tracer to find the middle root.

6.

Press repeatedly to move the tracer near the right-hand root. Press

ZOOM A (ZOOM) 3 (In) to zoom in. Press TRACE and move the tracer

to approximate the root.

GRAPHING POLYNOMIALS AND
FINDING THE ROOTS